12 citations · 42 across the 10 of their papers we have counts for
10 papers
Optimal equilibrium for a reformulated Samuelson economical model
Fernando Ortega, Maria Philomena Barros, Grigoris Kalogeropoulos
This paper studies the equilibrium of an extended case of the classical Samuelson's multiplier-accelerator model for national economy. This case has incorporated some kind of memor…
The Samuelson's model as a singular discrete time system
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
In this paper we revisit the famous classical Samuelson's multiplier-accelerator model for national economy. We reform this model into a singular discrete time system and study its…
On stability of generalised systems of difference equation with non-consistent initial conditions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
For given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into acco…
A boundary value problem of a generalised linear discrete time system with no solutions and infinitely many solutions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
In this article we study a class of generalised linear systems of difference equations with given boundary conditions and assume that the boundary value problem is non-consistent,…
The case of a generalised linear discrete time system with infinite many solutions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
In this article we study a class of generalised linear systems of difference equations with given non-consistent initial conditions and infinite many solutions. We take into consid…
Causality of singular linear discrete time systems
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
We consider two type of systems, a linear singular discrete time system and a linear singular fractional discrete time system whose coefficients are square constant matrices. By as…
Homogeneous linear matrix difference equations of higher order: Singular case
Charalambos P. Kontzalis, Grigoris Kalogeropoulos
In this article, we study the singular case of an homogeneous generalized discrete time system with given initial conditions. We consider the matrix pencil singular and provide nec…
Solutions of Higher Order Homogeneous Linear Matrix Differential Equations: Singular Case
Grigoris Kalogeropoulos, Charalambos Kontzalis
The main objective of this talk is to develop a matrix pencil approach for the study of an initial value problem of a class of singular linear matrix differential equations whose c…
A note on the relation between a singular linear discrete time system and a singular linear system of fractional nabla difference equations
Charalambos P. Kontzalis, Grigoris Kalogeropoulos
In this article we focus our attention on the relation between a singular linear discrete time system and a singular linear system of fractional nabla difference equations whose co…
Controllability and reachability of singular linear discrete time systems
Charalambos P. Kontzalis, Grigoris Kalogeropoulos
The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems.…